On an n-dimensional vector space an alternating n-form defines a measure. However a measure can be defined on its own right, without mentioning any alternating form. My question is that what condition must a measure satsfy that it can be originated from an alternating multilinear form. I mean an analogue that of a norm can be originated from a symmetric bilinear form if and only if it satisfies the parallelogram identity.(adsbygoogle = window.adsbygoogle || []).push({});

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# Measures and alternating multilinear forms

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